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\tan 71 ° = \tan (45 ° + 26 °) \tan 71 ° = \frac{\tan 45 ° + \tan 26 °}{1 - \tan 45 ° \tan 26 °} . . . [Using \tan (A + B) = \frac{tanA + tanB}{1 - tanA . tanB}] \tan 71 ° = \frac{1 + \frac{\sin 26 °}{\cos 26 °}}{1 - \frac{\sin 26 °}{\cos 26 °}} \tan 71 ° = \frac{\cos 26 ° + \sin 26 °}{\cos 26 ° - \sin 26 °}

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